Dynamics of a circular foil and two pairs of point vortices: new relative equilibria and a generalization of Helmholtz leapfrogging
IA Bizyaev, IS Mamaev - Symmetry, 2023 - mdpi.com
In this paper, we study the plane-parallel motion of a circular foil interacting with two vortex
pairs in an infinite volume of an ideal fluid. We assumed that the circulation of the velocity of …
pairs in an infinite volume of an ideal fluid. We assumed that the circulation of the velocity of …
Application of Kirchhoff's equations of motion to the dynamically coupled system of a rigid body with a completely-liquid-filled cavity
BN Shashikanth - Mathematics and Mechanics of Solids, 2024 - journals.sagepub.com
This paper considers the dynamical problem of a rigid body with a cavity that is completely
filled by a liquid. The dynamically coupled motion of the rigid body and the liquid is …
filled by a liquid. The dynamically coupled motion of the rigid body and the liquid is …
On the interplay between vortices and harmonic flows: Hodge decomposition of Euler's equations in 2d
C Grotta-Ragazzo, B Gustafsson, J Koiller - Regular and Chaotic Dynamics, 2024 - Springer
Let be a compact manifold without boundary whose first homology is nontrivial. The Hodge
decomposition of the incompressible Euler equation in terms of 1-forms yields a coupled …
decomposition of the incompressible Euler equation in terms of 1-forms yields a coupled …